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1232312040 = 233258534013
BaseRepresentation
bin100100101110011…
…1001011011101000
310011212210221022200
41021130321123220
510010432441130
6322140420200
742352323321
oct11134713350
93155727280
101232312040
11582676303
122a4847660
131683c892b
14b9941448
15732be760
hex497396e8

1232312040 has 96 divisors (see below), whose sum is σ = 4010708520. Its totient is φ = 328149504.

The previous prime is 1232312033. The next prime is 1232312117. The reversal of 1232312040 is 402132321.

It can be written as a sum of positive squares in 4 ways, for example, as 896762916 + 335549124 = 29946^2 + 18318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305074 + ... + 309086.

Almost surely, 21232312040 is an apocalyptic number.

1232312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005354260).

1232312040 is an abundant number, since it is smaller than the sum of its proper divisors (2778396480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1232312040 is a wasteful number, since it uses less digits than its factorization.

1232312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1232312040 is about 35104.3023004304. The cubic root of 1232312040 is about 1072.1121814917.

Adding to 1232312040 its reverse (402132321), we get a palindrome (1634444361).

The spelling of 1232312040 in words is "one billion, two hundred thirty-two million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 853 1706 2559 3412 4013 4265 5118 6824 7677 8026 8530 10236 12039 12795 15354 16052 17060 20065 20472 24078 25590 30708 32104 34120 36117 38385 40130 48156 51180 60195 61416 72234 76770 80260 96312 102360 120390 144468 153540 160520 180585 240780 288936 307080 361170 481560 722340 1444680 3423089 6846178 10269267 13692356 17115445 20538534 27384712 30807801 34230890 41077068 51346335 61615602 68461780 82154136 102692670 123231204 136923560 154039005 205385340 246462408 308078010 410770680 616156020 1232312040